具有混合时变时滞的不确定马尔科夫跳变系统中立无源滤波

Neutral Passivity Filtering for Uncertain Markovian Jump Systems with Neutral-Retarded Mixed Time-Varying Delays

文章研究了具有时变时滞和范数有界不确定参数的中立型马尔科夫跳变系统(NMJs)的无源分析和基于无源的混合时滞滤波器设计问题.首先,通过构造模态相关的Lyapunov泛函并引入自由权矩阵(FWMs),得到了中立马尔科夫跳变系统无源的时滞相关条件.其次,通过线性矩阵不等式(LMIs)设计了模态相关中立型无源滤波器,以保证增广的中立马尔科夫跳变滤波误差系统的无源性.通过数值算例和部分元件等效电路(PEEC)验证了该方法的有效性.

This paper deals with the problems of passivity analysis and passivitybased neutral-retarded mixed delays filter design for neutral Markovian jump systems(NMJSs)with time-varying delays and norm-bounded parametric uncertainties.Firstly,new delay-dependent conditions for the NMJSs are obtained by constructing a mode-dependent Lyapunov functional and introducing some free weight matrices(FWMs).Secondly,new mode-dependent neutral passivity filter is designed to ensure the passivity of the augmented neutral Markovian jump filtering error system via linear matrix inequalities(LMIs).A numerical example and a partial element equivalent circuit(PEEC)are utilized to show the effectiveness of the method.